Question: What is the main focus of topology in modern mathematics?

Options:

1. The study of shapes and their properties under continuous transformations
2. The analysis of numerical data sets
3. The calculation of areas and volumes
4. The exploration of algebraic structures

Correct Answer: The study of shapes and their properties under continuous transformations

Solution:

Topology is primarily concerned with the study of shapes and their properties under continuous transformations, distinguishing it from other branches of mathematics.